Fundamentals Of Applied Electromagnetics
7th Edition
ISBN: 9781292082448
Author: Fawwaz T Ulaby Umberto Ravaioli
Publisher: Pearson Education Dorling Kindersley
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Chapter 5, Problem 7P
To determine
The magnetic flux density at the center of the loop.
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A 16cm × 12cm rectangular conductive loop is placed in the xy plane. from aboveWhen viewed from the outside, a direct current of 10 A flows clockwise. flux density at the center of the loopfind it.
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Chapter 5 Solutions
Fundamentals Of Applied Electromagnetics
Ch. 5.1 - What are the major differences between the...Ch. 5.1 - Prob. 2CQCh. 5.1 - How is the direction of the magnetic moment of a...Ch. 5.1 - If one of two wires of equal length is formed into...Ch. 5.1 - An electron moving in the positive x direction...Ch. 5.1 - A proton moving with a speed of 2 106 m/s through...Ch. 5.1 - A charged particle with velocity u is moving in a...Ch. 5.1 - A horizontal wire with a mass per unit length of...Ch. 5.1 - A square coil of 100 turns and 0.5 m long sides is...Ch. 5.2 - Two infinitely long parallel wires carry currents...
Ch. 5.2 - Devise a right-hand rule for the direction of the...Ch. 5.2 - What is a magnetic dipole? Describe its magnetic...Ch. 5.2 - Prob. 6ECh. 5.2 - A wire carrying a current of 4 A is formed into a...Ch. 5.2 - Prob. 8ECh. 5.3 - What are the fundamental differences between...Ch. 5.3 - Prob. 9CQCh. 5.3 - Compare the utility of applying the BiotSavart law...Ch. 5.3 - Prob. 11CQCh. 5.3 - A current I flows in the inner conductor of a long...Ch. 5.3 - The metal niobium becomes a superconductor with...Ch. 5.5 - What are the three types of magnetic materials and...Ch. 5.5 - What causes magnetic hysteresis in ferromagnetic...Ch. 5.5 - Prob. 14CQCh. 5.5 - The magnetic vector M is the vector sum of the...Ch. 5.6 - With reference to Fig. 5-24, determine the single...Ch. 5.7 - Prob. 15CQCh. 5.7 - What is the difference between self-inductance and...Ch. 5.7 - Prob. 17CQCh. 5.7 - Use Eq. (5.89) to obtain an expression for B at a...Ch. 5 - An electron with a speed of 8 106 m/s is...Ch. 5 - When a particle with charge q and mass m is...Ch. 5 - The circuit shown in Fig. P5.3 uses two identical...Ch. 5 - The rectangular loop shown in Fig. P5.4 consists...Ch. 5 - In a cylindrical coordinate system, a 2 m long...Ch. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - The loop shown in Fig. P5.9 consists of radial...Ch. 5 - An infinitely long, thin conducting sheet defined...Ch. 5 - An infinitely long wire carrying a 25 A current in...Ch. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - A circular loop of radius a carrying current I1 is...Ch. 5 - Prob. 16PCh. 5 - Prob. 17PCh. 5 - Prob. 18PCh. 5 - Three long, parallel wires are arranged as shown...Ch. 5 - A square loop placed as shown in Fig. P5.20 has 2...Ch. 5 - Prob. 21PCh. 5 - Prob. 22PCh. 5 - Repeat Problem 5.22 for a current density J=zJ0er.Ch. 5 - In a certain conducting region, the magnetic field...Ch. 5 - Prob. 25PCh. 5 - Prob. 26PCh. 5 - Prob. 27PCh. 5 - A uniform current density given by J=zj0 (A/m2)...Ch. 5 - A thin current element extending between z = L/2...Ch. 5 - In the model of the hydrogen atom proposed by Bohr...Ch. 5 - Iron contains 8.5 1028 atoms/m3. At saturation,...Ch. 5 - The xy plane separates two magnetic media with...Ch. 5 - Given that a current sheet with surface current...Ch. 5 - In Fig. P5.34, the plane defined by x y = 1...Ch. 5 - The plane boundary defined by z = 0 separates air...Ch. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - A solenoid with a length of 20 cm and a radius of...Ch. 5 - Prob. 39PCh. 5 - The rectangular loop shown in Fig. P5.40 is...Ch. 5 - Determine the mutual inductance between the...
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- A rectangular surface of length 3.25 cm and width 5.25 cm lies on the y-z plane at x = 0. What is the flux through this surface due to a uniform magnetic field of 0.65 T directed 60O from the +x-axis?arrow_forwardA rectangular loop carrying current I is placed on the xy-plane. Assume that the corners of the loop are at (0,0),(a,0), (0,b), (a,b). Find the magnetic field intensity above the loop. Specifically, let a=2, b=1: A.) Find the magnetic field intensity H at any point in the region 0<x<a, 0<y<b, 0<z<2.arrow_forwardPlease provide Handwritten answer. a) Calculate the field everywhere on the surface of the loop from x=-4a to x=4a where a=1cm. Plot the value of the Magnetic Field along the x axis from x= -4cm to 4cm. Assuming cylindrical symmetry, plot the magnetic field value on the surface of the loop on a circular surface of radius 4cm.arrow_forward
- As seen in the figure, the rectangular ring in the xy plane is 0.5 m and 0.4 m in size and carries 0.50 A current. If the ring is in a 0.1 T uniform magnetic field in the x-axis direction, calculate the net force acting on the ring. (m0 = 4p 10-7 Tm / A)arrow_forwardAn L-shaped conducting wire, in the xz-plane, measuring 1.0 m by 1.0m for each leg, carries a 4 A constant current, in the directions shown in the Figure. The origin coincides with the corner of the L-shape. Calculate the B (with arrow on top) field at a point on the y-axis 0.5m from the origin.arrow_forwardA long, solid, cylindrical wire of radius A has a current density given by j = j0r/A. Determine the magnetic field, within the wire, in terms of the total current "I" flowing through the wire.arrow_forward
- When the same current flows in the same direction in the form of two parallel straight lines separated by l, as shown in Figure 5, the twoFind the magnetic field H at the position where the distance is z0 away from the center line perpendicular to the propagation current.The thickness of the line is zero and the material of space is air.arrow_forwardA square surface area with side length of 4cm is in the XY plane at z=0, Find the magnitude of the magnetic flux due to a uniform magnetic field of B=2ax-6ay+5az T a. In the +z direction b. 60 degrees from the +z direction c. Perpendicular to the +z direction d. 180 degrees from the +z directionarrow_forwardAn infinite plane conducting sheet has a uniform surface charge density +σ. Ahemispherical Gaussian surface of radius R has its symmetry axis at an angle α tothe normal to the infinite plane, as shown in the figure. Calculate the flux of the electricfield passing through the curved surface of the hemisphere.arrow_forward
- A rectangular flat surface with sides 0.200 m and 0.500 m is under the influence of a uniform electric field E=850 that is directed at 20.0" from the plane of the rectangular sheet. Find the electric flux through the rectangular fat sheet.arrow_forward5. The cylindrical surface ρ = 6 cm contains the surface charge density ρs = 10e-10 IzI nC/m2. a.) What is the total amount of charge present? b.)How much flux leaves the surface ρ=6cm, 2cm<z<4cm,30°<φ<60°?arrow_forwardConsider an infinitely large sheet lying in the xz-plane at the origin, the extent of the sheet in thex, and z direction is infinite. The sheet carries surface current J = J0ˆk, where J0 is the current per unit width perpendicular to the flow. Calculate the magnetic field everywhere (y > 0 and y < 0) due to J. Sketch the Amperian loop.arrow_forward
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